Glueball properties in anisotropic SU(3) lattice QCD with improved action

We study the glueballs properties at finite temperature using SU(3) lattice QCD at the quenched level with the anisotropic lattice. We use the tree-level Symanzik O(a^2) improved action. We present our preliminary results which shows the slight reduction of the scalar glueball mass near T_cComment: 8 pages, 13 figures, Talk given at Joint Workshop of the Special Research Center for the Subatomic Structure of Matter and the National Institute for Theoretical Physics (Workshop on Lepton Scattering, Hadrons and QCD), Adelaide, Australia 26 March - 6 April 200

Thermal Width Broadening of the 0++ Glueball Spectrum near Tc

We study the 0++ glueball correlator constructed with SU(3) anisotropic quenched lattice QCD at various temperature taking into account the possible existence of the thermal width in the ground-state peak. For this purpose, we adopt the Breit-Wigner ansatz, analysing the lattice data obtained with 5,500-9,900 gauge configurations at each T. The results indicate the significant thermal width broadening as Gamma(Tc) \sim 300 MeV with a reduction in the peak center as Delta omega_0(Tc) \sim 100 MeV in the vicinity of the critical temperature Tc.Comment: Talk given at Tokyo-Adelaide Joint Workshop on Quarks, Astrophysics and Space Physics, Tokyo, Japan, 6-10 January 2003, 5 pages, Latex2e, 2 figure

Dynamics of Information Entropies in Nonextensive Systems

We have discussed dynamical properties of the Tsallis entropy and the generalized Fisher information in nonextensive systems described by the Langevin model subjected to additive and multiplicative noise. Analytical expressions for the time-dependent Tsallis entropy and generalized Fisher information have been obtained with the use of the $q$-moment approach to the Fokker-Planck equation developed in a previous study [H. Hasegawa, Phys. Rev. E {\bf 77}, 031133 (2008)]. Model calculations of the information entropies in response to an applied pulse and sinusoidal inputs have been presented.Comment: 21 pages, 8 figures, augmented text with changed titl

Dynamics of Totally Constrained Systems II. Quantum Theory

In this paper a new formulation of quantum dynamics of totally constrained systems is developed, in which physical quantities representing time are included as observables. In this formulation the hamiltonian constraints are imposed on a relative probability amplitude functional $\Psi$ which determines the relative probability for each state to be observed, instead of on the state vectors as in the conventional Dirac quantization. This leads to a foliation of the state space by linear manifolds on each of which $\Psi$ is constant, and dynamics is described as linear mappings among acausal subspaces which are transversal to these linear manifolds. This is a quantum analogue of the classical statistical dynamics of totally constrained systems developed in the previous paper. It is shown that if the von Neumann algebra \C generated by the constant of motion is of type I, $\Psi$ can be consistently normalizable on the acausal subspaces on which a factor subalgebra of \C is represented irreducibly, and the mappings among these acausal subspaces are conformal. How the formulation works is illustrated by simple totally constrained systems with a single constraint such as the parametrized quantum mechanics, a relativistic free particle in Minkowski and curved spacetimes, and a simple minisuperspace model. It is pointed out that the inner product of the relative probability amplitudes induced from the original Hilbert space picks up a special decomposition of the wave functions to the positive and the negative frequency modes.Comment: 57 pages, some unexpected control codes in the original file, which may cause errors for some LaTeX compilers, were remove